Dynamic free energy hysteresis model in magnetostrictive actuators

2006 ◽  
Vol 19 (01) ◽  
pp. 85 ◽  
Author(s):  
Chun TIAN
Keyword(s):  
Free Energy ◽  
Hysteresis Model ◽  
Magnetostrictive Actuators

scholarly journals Construction and Numerical Realization of a Magnetization Model for a Magnetostrictive Actuator Based on a Free Energy Hysteresis Model

2019 ◽  
Vol 9 (18) ◽  
pp. 3691
Author(s):  
Zhen Yu ◽  
Chen-yang Zhang ◽  
Jing-xian Yu ◽  
Zhang Dang ◽  
Min Zhou
Keyword(s):  
Free Energy ◽  
High Reliability ◽  
Large Strain ◽  
Mechanical Strain ◽  
Engineering Application ◽  
Numerical Realization ◽  
Hysteresis Model ◽  
Magnetostrictive Material ◽  
Giant Magnetostrictive Material ◽  
Magnetostrictive Actuators

Giant magnetostrictive actuators (GMA) driven by giant magnetostrictive material (GMM) has some advantages such as a large strain, high precision, large driving force, fast response, high reliability, and so on, and it has become the research hotspot in the field of microdrives. Research shows there is a nonlinear, intrinsic relationship between the output signal and the input signal of giant magnetostrictive actuators because of the strong coupling characteristics between the machine, electromagnetic field, and heat. It is very complicated to construct its nonlinear eigenmodel, and it is the basis of the practical process of giant magnetostrictive material to construct its nonlinear eigenmodel. Aiming at the design of giant magnetostrictive actuators, the magnetization model based on a free-energy hysteresis model has been deeply researched, constructed, and put forward by Smith, which combines Helmholtz–Gibbs free energy and statistical distribution theory, to simulate the hysteresis model at medium or high driving strengths. Its main input and output parameters include magnetic field strength, magnetization, and mechanical strain. Then, numerical realization and verification of the magnetization model are done by the Gauss–Legendre integral discretization method. The results show that the magnetization model and its numerical method are correct, and the research results provide a theoretical basis for the engineering application of giant magnetostrictive material and optimized structure of giant magnetostrictive material actuators, which have an important practical application value.

Load Dependent Hysteresis Model for GMM and its Parameter Identification

2012 ◽  
Vol 226-228 ◽  
pp. 2385-2389 ◽  
Author(s):  
Guang Hui Chang ◽  
Shi Jian Zhu ◽  
Jing Jun Lou
Keyword(s):  
Vibration Control ◽  
Smart Materials ◽  
Active Vibration Control ◽  
Least Square Method ◽  
Least Square ◽  
Hysteresis Curve ◽  
Model Parameters ◽  
Hysteresis Model ◽  
Magnetostrictive Actuators ◽  
Active Vibration

This paper focuses on the development of load-dependent hysteresis model for Giant magnetostrictive materials (GMM). GMM are a class of smart materials and which are used mostly as actuators for active vibration control. Magnetostrictive actuators can deliver high ouput forces and relatively high displacements. Here, Terfenol-D, a magnetostrictive material is studied. Unlike the hysteresis seen in magnetic materials, The shape of Terfenol-D hysteresis curve changes significantly if the load is changed. To meet performance requirements for active vibration control, an accurate hysteresis model is needed. By modeling the Gibbs energy for each dipole and the equilibrium states, load-dependent hysteresis of GMM is modeled. Then a new PSO-LSM algorithm is brought forward by combing the Particle Swarm Optimization (PSO) with the least square method (LSM).Throughout this algorithm the model parameters were identified. The model results and experimental data were compared at different loads. The simulation results show that the load-dependent hysteresis model optimized by PSO-LSM yields outstanding performance and perfect accuracy.

A Mesoscopic Hysteresis Model Based on the Unconstrained Minimization of the Gibbs Free Energy

2010 ◽  
Vol 46 (2) ◽  
pp. 220-223 ◽  
Author(s):  
Adinda van den Berg ◽  
Luc Dupre ◽  
Ben Van de Wiele ◽  
Guillaume Crevecoeur
Keyword(s):  
Free Energy ◽  
Gibbs Free Energy ◽  
Unconstrained Minimization ◽  
Hysteresis Model ◽  
Model Based

scholarly journals Asymmetric Hysteresis Modeling Approach Featuring “Inertial System + Shape Function” for Magnetostrictive Actuators

Materials ◽  
2020 ◽  
Vol 13 (11) ◽  
pp. 2585
Author(s):  
Zhi-Yuan Si ◽  
Xian-Xu ‘Frank’ Bai ◽  
Li-Jun Qian
Keyword(s):  
Domain Walls ◽  
Shape Function ◽  
Dead Zone ◽  
Inertial System ◽  
Hysteresis Model ◽  
Magnetic Domains ◽  
Application Systems ◽  
Magnetostrictive Materials ◽  
Magnetostrictive Actuators ◽  
Hysteresis Characteristics

Hysteresis of the actuators based on magnetostrictive materials influences the control performance of the application systems. It is of importance and significance to establish an effective hysteresis model for the magnetostrictive actuators for precision engineering. In this paper, based on the analysis of the Duhem model, a first-order inertial system with hysteresis characteristic under harmonic input is used to describe the hysteresis caused by the inertia of the magnetic domains of magnetostrictive materials. Shape function is employed to describe the pinning of domain walls, the interactions of different magnetic domains of magnetostrictive materials, and the saturation properties of the hysteresis. Specifically, under an architecture of “inertial system + shape function” (ISSF-Duhem model), firstly a new hysteresis model is proposed for magnetostrictive actuators. The formulation of the inertial system is constructed based on its general expression, which is capable of describing the hysteresis characteristics of magnetostrictive actuators. Then, the developed models with a Grompertz function-based shape function, a modified hyperbolic tangent function-based shape function employing an exponential function as an offset function, a one-sided dead-zone operator-based shape function are compared with each other, and further compared with the classic modified Prandtl–Ishlinskii model with a one-sided dead-zone operator. Sequentially, feasibility and capability of the proposed hysteresis model are verified and evaluated by describing and predicting the hysteresis characteristics of a commercial magnetostrictive actuator.

Encultured minds, not error reduction minds

2020 ◽  
Vol 43 ◽  
Author(s):  
Robert Mirski ◽  
Mark H. Bickhard ◽  
David Eck ◽  
Arkadiusz Gut
Keyword(s):  
Free Energy ◽  
Error Reduction ◽  
Energy Principle ◽  
Free Energy Principle ◽  
Current Article

Abstract There are serious theoretical problems with the free-energy principle model, which are shown in the current article. We discuss the proposed model's inability to account for culturally emergent normativities, and point out the foundational issues that we claim this inability stems from.

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